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45175606416 = 243434857721
BaseRepresentation
bin101010000100101011…
…010000110010010000
311022121100212120210000
4222010223100302100
51220004423401131
632430422010000
73156331214223
oct520453206220
9138540776700
1045175606416
11181824a7816
128909276900
13434c407275
142287b015ba
151296079ce6
hexa84ad0c90

45175606416 has 50 divisors (see below), whose sum is σ = 130751315222. Its totient is φ = 15058535040.

The previous prime is 45175606393. The next prime is 45175606447. The reversal of 45175606416 is 61460657154.

45175606416 is a `hidden beast` number, since 4 + 5 + 17 + 560 + 64 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41812070400 + 3363536016 = 204480^2 + 57996^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17427565 + ... + 17430156.

Almost surely, 245175606416 is an apocalyptic number.

It is an amenable number.

45175606416 is an abundant number, since it is smaller than the sum of its proper divisors (85575708806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45175606416 is a wasteful number, since it uses less digits than its factorization.

45175606416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34857741 (or 34857726 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 45175606416 in words is "forty-five billion, one hundred seventy-five million, six hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 34857721 69715442 104573163 139430884 209146326 278861768 313719489 418292652 557723536 627438978 836585304 941158467 1254877956 1673170608 1882316934 2509755912 2823475401 3764633868 5019511824 5646950802 7529267736 11293901604 15058535472 22587803208 45175606416